Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

452×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 6 (1.7s)

Iter	Nodes	Cost
0	11	19
1	24	18
2	57	17
3	157	17
4	421	14
5	1225	11
6	3119	10
done	5000	10

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
0.2b	(* -3 (* x.im x.re))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
15.0ms	(* -3 (* x.im x.re))

series98.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma x.im (* -3 (* x.im x.re)) (pow x.re 3))
23.0ms	(* -3 (* x.im x.re))

simplify1.7s

Counts

36 → 36

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	55	338
1	124	327
2	401	282
3	1456	282
done	5000	282

prune76.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
0.2b	(* (* -3 x.im) x.re)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
17.0ms	(* (* -3 x.im) x.re)

series98.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
20.0ms	(* (* -3 x.im) x.re)

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	59	341
1	134	326
2	497	283
3	1865	283
done	5000	283

prune81.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
0.2b	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
0.3b	(* (cbrt -3) (* x.im x.re))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 63

Calls

3 calls:

0.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
61.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
17.0ms	(* (cbrt -3) (* x.im x.re))

series255.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re))) (pow x.re 3))
69.0ms	(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.im x.re)))
49.0ms	(* (cbrt -3) (* x.im x.re))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	90	975
1	219	945
2	878	645
3	3875	517
done	5000	517

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma -3 (* (* x.im x.re) x.im) (pow x.re 3))
0.2b	(* (* x.im x.re) x.im)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma -3 (* (* x.im x.re) x.im) (pow x.re 3))
17.0ms	(* (* x.im x.re) x.im)

series87.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma -3 (* (* x.im x.re) x.im) (pow x.re 3))
19.0ms	(* (* x.im x.re) x.im)

simplify3.2s

Counts

36 → 36

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	55	341
1	124	334
2	411	283
3	1122	283
4	4078	282
done	5000	282

prune68.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample868.0ms

Algorithm

intervals

Results

550.0ms

14348×

body

valid